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- (a) The marginal cost of two firms are given by the following Firm 1: C'(Q) = 300eº.1Q+2 TC= 3000 when Q = 0 Firm 2: C'(Q) = 41 +30Q -5Q² TC =400 when Q = 0 (i) What is the fixed cost for each firm(a) The marginal cost of two firms are given by the following Firm 1: C'(Q) = 300e®. 1Q+2 TC= 3000 when Q = 0 Firm 2: C'(Q) = 41 +30Q -5Q² TC =400 when Q = 0 (i (iii) average cost function for each firm(a) The marginal cost of two firms are given by the following Firm 1: C'(Q) = 300e0 1Q+2 TC= 3000 when Q = 0 Firm 2: C'(Q) = 41 +30Q -5Q² TC =400 when Q = 0 (i) What is the fixed cost for each firm (ii) Find the total cost function C(Q) for each firm (iii) average cost function for each fim (iv) Find the total cost for producing up to 100 units
- A computer production facility has a daily demand rate of 6 and a daily production rate of 20. Set up costs are $100 per order. They have calculated that the economic order quantity is 250 computers. Given this info, what is the best economic production quantity?Эшestion 1 A computer retailing company specializes in the sale of jump drives to community college tudents. The demand function for jump drives is p=2x+10x+1000 dollars For the samne company the average cost function is given as: ē = 2x +36x-1600- 20 * dollars Where p is the price in dollars and x represents units of output. 1) i1) Find the price and output that will maximize profit. Find the maximum profitPage of 2 ZO The marginal cost for a manufacturer of cherries is MC(q) = 0.06q° + 0.5g + 50 per necaton-cherry. Find the change in total cost for the manufacturer when production is increased from 40 hecaton-cherries to 50 hecaton-cherries.
- Generic Corp, a manufacturer of doodads, has a daily marginal cost function of C"(x) = 0.71(0.04z + 0.18(0.02z +0.18z + 30.28)* dollars per doodad when z doodads are made. The fixed costs for Generic Corp are $25 per day. How much does it cost rhe company in total to produce 330 doodads? Round your answer to the nearest cent.2.1 A manufacturer estimates that its variable cost for manufacturing a given product is given by the following expression: C(q) = 25q² + 2000q [$] where C is the total cost and q is the quantity produced a. Derive an expression for the marginal cost of production b. Derive expressions for the revenue and the profit when the widgets are sold at marginal cost.11.2 The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 20 + 3,000x + 0.01x2. (a) Find the marginal cost function C'(x). HINT [See Example 1.] C'(x) = Use it to estimate how fast the cost is increasing when x = 4. thousand dollars per television commercialCompare this with the exact cost of airing the fifth commercial. The cost is going up at the rate of $ per television commercial. The exact cost of airing the fifth commercial is $ . Thus, there is a difference of $ . (b) Find the average cost function C, and evaluate C(4). HINT [See Example 2.] C(x) = C(4) = thousand dollars per television commercial What does the answer tell you? The average cost of airing the first four commercials is $ per commercial.
- Y6 questions1. A firm produces TVs and ovens witha joint cost function that takes the form:C(x,y) = 3x^2 + 2y^2 + 2xy where x and y are the firm's output of TVs and ovensrespectively. Suppose the cost function is subject to the constraint on the total output ofthe firm in the form 2x + y = 35.a) Find the optimum values x and that minimize the firm's total cost.b) Check your answer in (a) by using the bordered Hessian matrix.c)Determine the optimum value of the Lagrange multiblier À. Interpret your answer.A company produces very unusual CD's for which the variable cost is $ 15 per CD and the fixed costs are $ 50000. They will sell the CD's for $ 79 each. Let a be the number of CD's produced. Write the total cost C as a function of the number of CD's produced. C =$ Write the total revenue R as a function of the number of CD's produced. R=$ Write the total profit P as a function of the number of CD's produced. P=$ Find the number of CD's which must be produced to break even. The number of CD's which must be produced to break even is Question Help: Video Submit Question600 550 500 450 400 360 350 300 270 250 200 150 100 50 0 ATC> MC c) 20 d) 25 e) 45 f) 100 g) 120 h) 160 a 6 10 20. What is the Marginal Cost at Q=6? a) 7.50 b) 12 b 20 Ha 30 ATC=MC TC ATC < MC 37 40